Electrodynamics of continua: 1 Foundations and solid media
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Springer
1990
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| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XV, 436, 18 S. graph. Darst. |
| ISBN: | 0387969365 3540969365 9781461279235 |
Internformat
MARC
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| 264 | 1 | |a New York u.a. |b Springer |c 1990 | |
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Datensatz im Suchindex
| _version_ | 1804117928566587392 |
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| adam_text | A.C. ERINGEN G.A. MAUGIN ELECTRODYNAMICS OF CONTINUA I FOUNDATIONS AND
SOLID MEDIA WITH 64 ILLUSTRATIONS SPRINGER-VERLAG NEW YORK BERLIN
HEIDELBERG LONDON PARIS TOKYO HONGKONG CONTENTS (VOLUME I) PREFACE V
CHAPTER L KINEMATICS OF MATERIAL CONTINUA 1 1.1. SCOPE OF THE CHAPTER 1
1.2. MASS AND CHARGE 2 1.3. MOTION AND DEFORMATION 4 1.4. STRAIN
MEASURES 6 1.5. POLAR DECOMPOSITION 8 1.6. INFINITESIMAL STRAINS 9 1.7.
VOLUME AND AREA CHANGES 10 1.8. COMPATIBILITY CONDITIONS 11 1.9.
DEFORMATION RATES 12 1.10. RIGID BODY MOTION 14 1.11. OBJECTIVITY 15
1.12. OBJECTIVE TIME RATES OF TENSOR FIELDS 16 1.13. KINEMATICS OF LINE,
SURFACE, AND VOLUME INTEGRALS 19 PROBLEMS 23 CHAPTER 2 MICROSCOPIC
ELECTROMAGNETIC THEORY 26 2.1. SCOPE OF THE CHAPTER 26 2.2. ELECTRIC
CHARGE 27 2.3. ELECTRIC MOMENTS 29 2.4. CURRENT, MAGNETIC MOMENTS 32
2.5. MICROSCOPIC ELECTROMAGNETIC FIELDS 33 2.6. ELECTROMAGNETIC FORCE ON
A POINT PARTICLE 35 2.7. MICROSCOPIC MAXWELL S EQUATIONS 36 2.8.
ELECTROMAGNETIC FORCE ON COMPOSITE PARTICLES 40 2.9. COUPLE ACTING ON A
COMPOSITE PARTICLE 42 2.10. POWER OF ELECTROMAGNETIC FORCES 43 PROBLEMS
45 XII CONTENTS (VOLUME I) CHAPTER 3 MACROSCOPIC ELECTROMAGNETIC THEORY
47 3.1. SCOPE OF THE CHAPTER 47 3.2. STATISTICAL AVERAGES 48 3.3.
MAXWELL S EQUATIONS 50 3.4. GALILEAN INVARIANCE OF MAXWELL S EQUATIONS
52 3.5. MACROSCOPIC DENSITIES OF MASS, FORCE, COUPLE, AND POWER . . . .
55 A. MASS DENSITY 55 B. FORCE DENSITY 56 C. COUPLE DENSITY 59 D.
ELECTROMAGNETIC POWER 60 3.6. ELECTROMAGNETIC STRESS TENSOR, MOMENTUM,
AND POYNTING VECTOR . . 62 3.7. ELECTROMAGNETIC FORCE, COUPLE, AND POWER
AT A DISCONTINUITY SURFACE 65 3.8. BALANCE LAWS OF CONTINUUM PHYSICS 66
3.9. BALANCE LAWS OF ELECTRODYNAMICS 72 A. GLOBAL STATEMENT 72 B. LOCAL
BALANCE LAWS 73 * BOUNDARY CONDITIONS 74 3.10. THERMOMECHANICAL BALANCE
LAWS 75 3.11. CLAUSIUS-DUHEM INEQUALITY 81 3.12. INVARIANCE REQUIREMENTS
FOR BALANCE LAWS 82 3.13. PRINCIPLE OF VIRTUAL POWER 84 3.14. RESUME OF
BALANCE LAWS 85 PROBLEMS 87 CHAPTER 4 ELEMENTARY PROPERTIES OF
ELECTROMAGNETIC CONTINUA 91 4.1. SCOPE OF THE CHAPTER 91 4.2. DIELECTRIC
MATERIALS 91 4.3. PHYSICAL THEORY OF DIELECTRICS 93 A. POLARIZABILITY 93
B. THE CLAUSIUS-MOSSOTI EQUATION 96 C. FERROELECTRIC CRYSTALS 96 D.
ELECTROSTRICTION AND PIEZOELECTRICITY 99 E. PYROELECTRICITY 100 4.4.
MAGNETIC MATERIALS 100 A. THE ORIGIN OF MAGNETISM 100 B. GYROMAGNETIC
EFFECTS 101 4.5. DIFFERENT TYPES OF MAGNETISM 102 A. PARAMAGNETISM 103
B. FERROMAGNETISM 104 C. FERRIMAGNETISM AND ANTIFERROMAGNETISM 110 D.
MAGNONS ILL E. MAGNETOSTRICTION AND PIEZOMAGNETISM 114 4.6. ELECTRIC
CONDUCTION 114 A. ELECTRON CONDUCTION 114 B. CROSS EFFECTS 115 CONTENTS
(VOLUME I) XIII 4.7. INTERACTION BETWEEN LIGHT AND ELECTROMAGNETIC
CONTINUA . . . 117 A. ELECTROMAGNETIC OPTICS 117 B. INDUCEMENT OF
OPTICAL ANISOTROPY 121 PROBLEMS 125 CHAPTER 5 CONSTITUTIVE EQUATIONS 128
5.1. SCOPE OF THE CHAPTER 128 5.2. RESUME OF BALANCE LAWS 129 5.3.
RAISON D ETRE 131 5.4. AXIOMS OF CONSTITUTIVE THEORY 133 A. AXIOM OF
CAUSALITY 134 B. AXIOM OF DETERMINISM 135 C. AXIOM OF EQUIPRESENCE 136
D. AXIOM OF OBJECTIVITY 136 E. AXIOM OF TIME REVERSAL 138 F. AXIOM OF
MATERIAL INVARIANCE 138 G. AXIOM OF NEIGHBORHOOD 141 H. AXIOM OF MEMORY
143 I. AXIOM OF ADMISSIBILITY 144 5.5. INTEGRITY BASIS UNDER
CRYSTALLOGRAPHIC POINT GROUPS 145 5.6. INTEGRITY BASIS UNDER MAGNETIC
POINT GROUPS 150 5.7. INTEGRITY BASIS OF VECTORS AND TENSORS FOR
ISOTROPIC MATERIALS . . . 154 5.8. CONSTITUTIVE EQUATIONS OF
ELECTROMAGNETIC ELASTIC SOLIDS 156 5.9. ISOTROPIC ELECTROMAGNETIC
ELASTIC SOLIDS 159 5.10. ANISOTROPIC ELECTROMAGNETIC ELASTIC SOLIDS 163
5.11. LINEAR CONSTITUTIVE EQUATIONS 165 5.12. ELECTROMAGNETIC FLUIDS 171
5.13. RESUME OF CONSTITUTIVE EQUATIONS 174 PROBLEMS 178 CHAPTER 6 RIGID
DIELECTRICS 180 6.1. SCOPE OF THE CHAPTER 180 6.2. FUNDAMENTAL EQUATIONS
181 6.3. POTENTIAL THEORY 183 A. GREEN S THEOREM 184 B. UNIQUENESS
THEOREM 184 * REPRESENTATION THEOREM 185 D. GREEN S FUNCTION 186 E.
GREEN S FUNCTION FOR DIRICHLET S PROBLEM IN SPHERICAL REGIONS AND IN
HALF-SPACE 187 F. EIGENFUNCTION EXPANSIONS 190 6.4. CHARGED CYLINDER 192
6.5. POTENTIAL IN HALF-PLANE 193 6.6. CHARGED DISK 196 6.7. PLANE
ELECTROMAGNETIC WAVES IN ISOTROPIC BODIES 198 XIV CONTENTS (VOLUME I)
6.8. SPHERICAL WAVES 201 6.9. NONLINEAR THEORY OF RIGID DIELECTRICS 203
6.10. ONE-DIMENSIONAL PROBLEM 205 6.11. TWO-DIMENSIONAL NONLINEAR
PROBLEM 207 6.12. SOLUTIONS OF TWO-DIMENSIONAL PROBLEMS FOR SPECIAL
DIELECTRICS . 209 6.13. NONLINEAR ELECTROMAGNETIC WAVES 213 6.14.
ELECTROMAGNETIC SHOCK WAVES IN RIGID STATIONARY DIELECTRICS . . 217
6.15. MOVING RIGID DIELECTRICS 224 A. DRAGGING OF LIGHT BY A MOVING
DIELECTRIC 224 B. THE ROTATION OF A RIGID DIELECTRIC IN A MAGNETIC FIELD
. . . . 226 C. UNIPOLAR INDUCTION 229 6.16. NONLINEAR OPTICS 230 6.17.
SOLITARY WAVES 233 PROBLEMS 236 CHAPTER 7 ELASTIC DIELECTRICS 239 7.1.
SCOPE OF THE CHAPTER 239 7.2. RESUME OF BASIC EQUATIONS 240 7.3.
UNIQUENESS THEOREM 243 7.4. PIEZOELECTRIC MODULI 246 7.5.
PIEZOELECTRICALLY EXCITED THICKNESS VIBRATIONS OF PLATES 253 7.6.
EXTENSIONAL VIBRATIONS OF PIEZOELECTRIC RODS 257 7.7. SURFACE WAVES 259
7.8. RADIALLY SYMMETRIC VIBRATIONS 261 7.9. SPHERICALLY SYMMETRIC
VIBRATIONS OF THIN CERAMIC SHELLS . . . . 263 7.10. PIEZOELECTRICALLY
GENERATED ELECTRIC FIELD 263 7.11. ELASTIC DIELECTRICS SUBJECT TO FINITE
DEFORMATIONS AND FIELDS . . 265 7.12. CYLINDRICALLY SYMMETRIC
DEFORMATION OF A TUBE SUBJECT TO A RADIAL FIELD 269 7.13. AXISYMMETRIC
OSCILLATIONS OF A TUBE 273 7.14. SMALL DEFORMATIONS AND FIELDS
SUPERIMPOSED ON LARGE STATIC DEFORMATIONS AND FIELDS 278 7.15.
PHOTOELASTIC EFFECT 287 7.16. ELECTRO-OPTICAL EFFECT 290 7.17.
MAGNETO-OPTICAL EFFECTS 297 7.18. ELASTIC IONIC CRYSTALS,
FERROELECTRICS, AND OTHER POLARIZABLE SOLIDS . . 304 PROBLEMS 306
CHAPTER 8 MAGNETOELASTICITY 307 8.1. SCOPE OF THE CHAPTER 307 8.2.
RESUME OF BASIC EQUATIONS 308 8.3. STATIC MAGNETOELASTIC FIELDS 314 8.4.
UNIFORMLY MAGNETIZED SPHERE IN NONPERMEABLE MEDIUM . . . . 316 8.5.
TWO-DIMENSIONAL MAGNETOELASTICITY 319 CONTENTS (VOLUME I) XV 8.6. STRESS
CONCENTRATION AT A CIRCULAR HOLE 321 8.7. RADIAL MOTIONS OF A CYLINDER
UNDER AN AXIAL MAGNETIC FIELD 326 8.8. PROPAGATION OF PLANE WAVES 329
8.9. WAVES INDUCED BY A THERMAL SHOCK 338 8.10. HOMOGENEOUS STRAIN IN A
MAGNET 343 8.11. SIMPLE SHEAR 347 8.12. TORSION OF A CYLINDRICAL MAGNET
349 8.13. ELECTRIC CONDUCTION IN A TWISTED CYLINDER 354 8.14. THEORY OF
MAGNETOELASTIC PLATES 359 8.15. PLATE UNDER TRANSVERSE MAGNETIC FIELD
363 8.16. MAGNETOELASTIC BUCKLING OF A CIRCULAR PLATE 367 8.17. OTHER
WORKS: DYNAMIC BUCKLING AND NONLINEAR WAVES 370 PROBLEMS 371 APPENDICES
A. CRYSTALLOGRAPHIC POINT GROUPS 373 B. CRYSTALLOGRAPHIC MAGNETIC GROUPS
379 * INTEGRITY BASES OF CRYSTALLOGRAPHIC GROUPS 384 D. SOME THEOREMS ON
SYMMETRIC POLYNOMIAL FUNCTIONS . . . . 399 E. REPRESENTATIONS OF
ISOTROPIC, SCALAR, VECTOR, AND TENSOR FUNCTIONS 402 F. MAXWELL S
EQUATIONS IN VARIOUS SYSTEMS OF UNITS 405 REFERENCES 407 INDEX II
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| isbn | 0387969365 3540969365 9781461279235 |
| language | English |
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| spelling | Eringen, Ahmed Cemal Verfasser aut Electrodynamics of continua 1 Foundations and solid media A. C. Eringen ; G. A. Maugin New York u.a. Springer 1990 XV, 436, 18 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Maugin, Gérard A. Verfasser aut (DE-604)BV003578591 1 Erscheint auch als Online-Ausgabe 978-1-4612-3226-1 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002278261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eringen, Ahmed Cemal Maugin, Gérard A. Electrodynamics of continua |
| title | Electrodynamics of continua |
| title_auth | Electrodynamics of continua |
| title_exact_search | Electrodynamics of continua |
| title_full | Electrodynamics of continua 1 Foundations and solid media A. C. Eringen ; G. A. Maugin |
| title_fullStr | Electrodynamics of continua 1 Foundations and solid media A. C. Eringen ; G. A. Maugin |
| title_full_unstemmed | Electrodynamics of continua 1 Foundations and solid media A. C. Eringen ; G. A. Maugin |
| title_short | Electrodynamics of continua |
| title_sort | electrodynamics of continua foundations and solid media |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002278261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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